شماره ركورد كنفرانس :
3502
عنوان مقاله :
The Grobner Basis of Binomial Edge Ideals of Some Class of Graphs
Author/Authors :
Leila Sharifan Department of Mathematics - Hakim Sabzevari University , Masoumeh Javanbakht Hakim Sabzevari University
كليدواژه :
Binomial edge ideal , Grobner basis , m−Closed graphs , Caterpillar trees
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
A closed graph is a graph whose binomial edge ideal has a quadratic Grobner basis with respect to a suitable ordering of its vertices. This class of graphs is studied well in the literatures. We extend this notion and study the class of so called m−closed graphs. We present an equivalent condition for 3-closed property of trees. In particular we study caterpillar trees and some trees constructed by this class of graphs.
